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nalin [4]
3 years ago
8

Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue shirts have stri

pes, and four of the green shirts have stripes. What is the probability that Sam randomly chooses a shirt that is blue or has stripes?
Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:  The answer is 80%.


Step-by-step explanation:  Let us define the following events.

B = the event that the shirt is blue,

G = the event that the shirt is green

and

S = the event that the shirt is striped.

So, n(B) = 8,  n(G) = 7,  n(B and S) = 5, n(G and S) = 4.

n(S) = 5 + 4 = 9.

We have

n(B\cup S)=n(B)+n(S)-n(B\cap S)=8+9-5=12.

Therefore, the required probability is

p=\dfrac{n(B\cup S)}{8+7}=\dfrac{12}{15}=\dfrac{4}{5}=0.8=80\%.

Thus, the answer is 80%.


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